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what does n in the Hill equation mean?
n is the Hill Coefficient - the degree of cooperativity or interaction between ligand-binding sites in the protein
n < 1 (negative cooperativity) - binding of ligand at one site decreases affinity of other binding sites in the protein for that ligand
n = 1 (no cooperativity) - binding sites act independently of each other
n > 1 (positive cooperativity) - binding of ligand at one site increases affinity of other binding sites in the protein for that ligand
value represents number of binding sites that are fully cooperating
n is calculated from the Hill plots
what is the Hill coefficient
slope of the line on the Hill plot
what are the slopes of Mb and Hb on the hill plot
Mb = 1
therefore no cooperativity
Hb = 3
therefore high cooperativity
asymptotes on Hill plot
lower asymptote gives p50 of 1st O2 bound
pretty high since Hb is in T state when no o2 is bound
Hb has poor binding affinity with no O2 bound
last O2 bound has p50 = 0.3 torr (which is lower)
meaning that due to cooperativity, Hb has very high affinity for O2 for the last O2 binding site
myoglobin vs. hemoglobin
myoglobin
monomeric, one heme
hyperbolic O2 binding curve
p50 = 2.8 torr
hemoglobin
tetrameric, four hemes (exhibit cooperative binding)
sigmoidal O2 binding curve
p50 = 26 torr
physiological roles of Mb vs. Hb
Hemoglobin - transportation of O2
pO2 in lungs is ~100 torr (Y02 = 0.9), in tissues pO2 ~ 30 torr (YO2 = 0.5)
Hb binds O2 in the lungs and releases it in tissue
Myoglobin - storage of O2 (delivered by Hb) in muscle tissues
Po2 in tissue is ~ 30 torr (YO2 = 0.9)
can be much lower in metabolically active tissue
Mb binds O2 delivered by Hb and releases it when tissue O2 lvls decrease
why cant Mb perform transportation like Hb
because even though it can bind O2 in the lungs, it cannot release it in the tissue
no cooperative O2 binding in Mb
describe series of events that happen after O2 binding on one subunit of Hb causes a shift from the T to the R state
central cavity of Hb changes size
gets narrower as it goes from deoxyhemoglobin (T state) to oxyhemoglobin (R state)
BPG is releases out of the molecule
release of H+ and Cl-
allosteric protein
protein in which binding of a ligand to one site affects binding of a ligand to a different site
ex. hemoglobin
cooperative O2 binding
homotropic vs. heterotropic allosterism
homotropic allosterism - allosteric interaction using 2 of the same ligands
heterotropic allosterism - allosteric interaction using 2 different types of ligands
homotropic vs. heterotropic allosteric effectors of Hb
homotropic allosteric effector of Hb - O2
heterotropic allosteric effectors of Hb - H+, Cl-, CO2 (HCO3-), D-2,3-biphosphoglycerate (BPG)
allosteric effects in hemoglobin
stabilize the T state making Hb (O2) unload the oxygen
allosteric protein structure
often have regions in protein structure with lower stability
when ligand binds, it may introduce interactions that stabilize this region
affects structure of adjacent regions and changes their affinity for binding other ligands
flexibility in peptide structure allows for conformational changes
allows for cooperative binding effects
Bohr effect (and mechanism)
allosteric regulation of Hb binding O2
increase in H+ (which decreases pH) OR increase in CO2 causes increase in O2 binding affinity of Hb
conformational change from T state to R state during O2 binding causes release of ~0.6 H+ for every O2 molecule bounds
caused by shifts in pKa values of aa residues
effect of increasing vs. decreasing pH
decreasing pH
increase in H+ shifts deoxyhemoglobin / oxyhemoglobin (Hb / HbO2) equilibrium towards releasing O2 (T state)
increasing pH
decrease in H+ shifts equilibrium towards binding O2
actively working muscle and O2
actively working muscle produces H+ and lowers pH
higher [H+] leads to Hb(O2) releasing O2 that the muscle needs
How does CO2 affect O2 binding in hemoglobin
through formation of carbamates with the amino groups at the N-termini of the peptide subunits
T state of Hb binds more CO2 as carbamates than the R state does
increasing pCO2 shifts Hb / HbO2 equilibrium towards releasing O2
decreasing pCO2 shifts equilibrium towards binding O2
actively working muscle and CO2
actively working muscles makes CO2 through respiration
increase in [CO2] also helps Hb unload needed O2
carbonic anhydrase
enzyme in RBCs that catalyzes conversion of CO2 and H2O into bicarbonate and protons
catalyzes reaction in Muscle Tissue: CO2 + H2O → HCO3- + H+
catalyzes the reverse reaction in lungs
allows CO2 gas to be regenerated and eliminated by exhalation
2 main ways CO2 is transported by Hb and red blood cells
as carbamates
as bicarbonate
since it cant cross RBC membrane, CO2 is transported in RBC in this form
RBC acts as transport vehicles because of this
how does Hb carry CO2 and H+ in the bloodstream (look at diagram for help)
when you inhale (pO2 = 100 torr), Hb binds oxygen and carries it from bloodstream to muscle tissue (pO2 = 20 torr)
Mb binds to O2 since at this pO2, Hb affinity for O2 drops
when muscles become intensely active, pO2 drops even lower (lower than p50 = 2.8 torr) and Mb is forced to release O2
O2 gets used where muscles need it
Respiration produces CO2 and H2O
carbonic anhydrase converts it into bicarbonate (HCO3-) and H+
so that CO2 can be transported by red blood cells back to the lungs
H+ is carried by hemoglobin
when approaching the lungs, the reverse reaction occurs
regenerates CO2 to be exhaled out of the lungs
Chloride (Cl-) ions
Cl- are also released by conformational change of Hb from T to R state
Cl- acts as allosteric modifier with similar effect as H+
BPG
D-2,3-biphosphoglycerate (BPG)
allosteric effector of Hb in mammals
concentrated in red blood cells
shifts the Hb / HbO2 equilibrium towards releasing O2
How does BPG work as an allosteric effector ?
forms attractive ionic interactions with 8 cationic groups in central cavity of deoxyhemoglobin
from each of the two B units
Lys82 (Lys EF6)
His143 (His H21)
His2 (His NA2)
N-terminal amino group of Val1 (Val NA1)
How does BPG change Hemoglobin O2 binding
BPG binding shifts Hb / HbO2 equilibrium towards releasing O2
in absence of BPG (“stripped Hb”), Hb has significantly higher affinity for O2
lower p50 value
BPG decreases affinity of Hb for O2 so that O2 will be released in tissue (pO2 = ~30 torr)
fetal hemoglobin (a2Y2)
instead of B subunits, they have Y subunits (variation of B subunit)
His143 (HisH21) is replaced with a Ser residue
has higher O2 binding affinity than adult Hb
facilitate transfer of O2 between mother and fetus via the placenta
why does fetal Hemoglobin have higher O2 binding affinity than adult hemoglobin
the uncharged Ser R group cant interact with BPG
detracts BPG’s ability to stabilize T state
therefore decreases effect of BPG on decreasing O2 affinity of Hb
How does BPG work in high-altitude adaptation?
pO2 decreases with increasing altitude meaning insufficient O2 is reaching tissues (since not enough O2 is being released by Hb)
RBCs rapidly change level of BPG production to adjust the o2 affinity of Hb to meet the changing conditions
goes from p50 = 26 torr (normal BPG concentration) to p50 = 31 torr (high BPG concentration)
higher BPG concentration in RBCs (due to higher altitude) causes decrease in affinity of Hb for O2
thus increases amount of O2 released in tissues
what two models help explain cooperative binding in multisubunit proteins
symmetry (MWC, concerted) model
sequential (KNF) model
both models assume that subunits are symmetrical, have only 2 conformations (R and T) which are in equilibrium
what do the symmetry and sequential models both assume ?
both assume that subunits are symmetrical
only have 2 conformations (R and T) which are in equilibrium
have a ligand which can bind either R or T states
but affinities (of T and R state) for the ligand are different
Symmetry (MWC, concerted) model of allosterism
all subunits are postulated to be in same conformation at the same time (all R or all T)
if ligand binds more tightly in R state than in T state, then binding of ligand will shift equilibrium towards R state
this increases affinity of unbound subunits for ligand
therefore cooperative binding
sequential (KNF) model of allosterism
any given subunit can be either R or T state
binding of ligand to subunit induces change of that subunit from R to T
cooperative interactions promote binding of ligands to neighbouring subunits so that they also transform
sickle cell anemia
inherited disease caused by DNA mutation which causes substitution of Glu6 (Glu A3) in the B subunits for a Val residue
hemoglobin S has 2 fewer negative charges than wild type hemoglobin
is more hydrophobic
causes hemolytic anemia
sickle cell anemia
inherited disease caused by DNA mutation which causes substitution of Glu6 (Glu A3) in the B subunits for a Val residue
hemoglobin S has 2 fewer negative charges than wild type hemoglobin
is more hydrophobic
causes hemolytic anemia
how does a single aa substitution in Hb cause sickle cell anemia?
mutant Val6 residue on deoxyhemoglobin S forms hydrophobic interactions with a hydrophobic pocket on another deoxyhemoglobin S molecule
these polymers precipitate
causes RBCs to sickle which impede their flow through capillaries
decreases O2 delivery to tissue and results in tissue death